Finding the Third Proportional to 11,628 and 17,366

Step by Step Solution

1. Step 1: Write the proportion equation
   11,628 : 17,366 = 17,366 : x
2. Step 2: Convert to fraction form
   11,628/17,366 = 17,366/x
3. Step 3: Cross multiply
   11,628x = 17,366 × 17,366
4. Step 4: Simplify right side
   11,628x = 301,577,956
5. Step 5: Solve for x
   x = 301,577,956/11,628
6. Step 6: Final answer
   x = 25,935.50